Simulations of laser locking to a LISA arm

We present detailed numerical simulations of a laser phase stabilization scheme for Laser Interferometer Space Antenna (LISA), where both lasers emitting along one arm are locked to each other. Including the standard secondary noises and spacecraft motions that approximately mimic LISA's orbit (excluding the rotation of the constellation), we verify that very stable laser phases can be obtained and that time delay interferometry can be used to remove the laser phase noise from measurements of gravitational wave strains. Most importantly, we show that this locking scheme can provide significant simplifications over LISA's baseline design in the implementation of time delay interferometry.